**MATH 1300.03**, Winter 2001

Time: T/R 8:30--10:00

Location: CLH C

INSTRUCTOR: Yun
Gao,

Office:
Ross S624,

Telephone:
736-2100 ext. 33952

e-mail:
ygao@yorku.ca

OFFICE HOURS: Tuesdays and Thursdays: 11:30--12:30, 13:30--14:30 or by appointment.

REQUIRED TEXT:

S. O. Kochman,
**Calculus:
Concepts, Applications and Theory, Part I**, 2000 Edition,

available as
a course kit from the York Bookstore.

Here
is the Text Errata for the 2000 edition

OPTIONAL AID: V. Mishkin, Student Manual for Math 1300,

contains solutions to the Basic Exercises of the sections covered in Math
1300.

TOPICS TO BE COVERED:

Limits, derivatives with applications, antiderivatives, fundamental
theorem of calculus,

beginnings of integral calculus. Other topics include continuity,
the Mean Value Theorem,

curve sketching, L'Hospital's Rule and maxima-minima.

*Prerequisite:* AS/SC/MATH 1515 3.0 or AK/MATH 1710 6.0 or OAC
Calculus or equivalent.

MATH LAB: Assistance with mathematical
questions on the course or the homework is available

at the ``Mathematics and Statistics Laboratory'', room S525 Ross,

beginning on Tuesday, February 27, weekdays 10:00--15:00.

SYLLABUS: We will study the
following sections:

Chapter 1: sections 1- 6;

Chapter 2: sections 1- 10, 12;

Chapter 3: sections 1- 3.

Calculus is the study of functions. Differential calculus studies the tangent lines to their graphs while integral calculus studies the areas under their graphs. Limits are used to define the derivative and integral. We will develop formulas for computing derivatives. Consequences of the Mean Value Theorem will be used to find local extrema and to sketch curves. Applications of the derivative will be made by interpreting it as a rate of change. The Fundamental Theorem of Calculus will be used to evaluate integrals, and integrals will be applied to compute areas. Other applications of integrals will be studied in Math 1310. A more detailed list of topics is contained in the table of contents of the text.

HOMEWORK: You are expected to do all of the assigned homework. Experience has shown that the only way to learn math is to do it - math is not a spectator sport! The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend doing problems. A quiz problem is analogous to one of the assigned homework problems. Each marked quizz will be available for pickup at the Math Lab the following Monday.

To see all homework problems, click here. To see homework hints, click here.

EXAMS: There will be seven quizzes and three in-class
midterm exams and a 3 hour final exam.

All quizzes or midterm exams will be held on every Thursday starting
from the second week.

Quizzes:
9:30 a.m. March 8, 22, 29, April 12,
19, May 3, 10.

Midterm exams:
9:00 a.m. March 15, April 5, 26.

MARKS: The final exam will count as 35% of your mark, each in-class midterm exam will count as 15% of your mark and the quizzes will count as 20% of your mark.

MISSED EXAMS: There will be no make-up exams for missed quizzes or missed in-class exams. Upon presentation of documentation of a valid excuse, the corresponding percentage of the final mark will be added to the final exam. With no presentation of such documentation a grade of zero will be entered for the missed quiz or exam.

IMPORTANT DATES:

Add deadline with my permission: March 23.

Drop deadline: April 12.

HELPFUL LINKS:

York Undergraduate
Math Program

Math Lab

Calculus Sites